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Simplifying 3(7 + -4n) + -7n = 31 + -6n (7 * 3 + -4n * 3) + -7n = 31 + -6n (21 + -12n) + -7n = 31 + -6n Combine like terms: -12n + -7n = -19n 21 + -19n = 31 + -6n Solving 21 + -19n = 31 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 21 + -19n + 6n = 31 + -6n + 6n Combine like terms: -19n + 6n = -13n 21 + -13n = 31 + -6n + 6n Combine like terms: -6n + 6n = 0 21 + -13n = 31 + 0 21 + -13n = 31 Add '-21' to each side of the equation. 21 + -21 + -13n = 31 + -21 Combine like terms: 21 + -21 = 0 0 + -13n = 31 + -21 -13n = 31 + -21 Combine like terms: 31 + -21 = 10 -13n = 10 Divide each side by '-13'. n = -0.7692307692 Simplifying n = -0.7692307692
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